## Geometry and Topology

•  Keegan Boyle, UBC
•  Equivariant genera of strongly invertible knots
•  03/16/2021
•  2:50 PM - 3:40 PM
•  Online (virtual meeting) (Virtual Meeting Link)
•  Honghao Gao (gaohongh@msu.edu)

Given a knot $K$, the minimum genus of an orientable surface embedded in $S^3$ or $B^4$ with boundary $K$ is a natural measure of knot complexity. In this talk I will generalize this idea to involutions on knots, focusing on the case where the involution preserves the orientation of $S^3$, but reverses the orientation of $K$. This talk is elementary in nature and will be very accessible. This is joint work with Ahmad Issa.

## Contact

Department of Mathematics
Michigan State University
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science